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Mathematics - Straight Lines

Practise 22 JEE Advanced previous year questions on Straight Lines, compiled from papers spanning 2007 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.

Straight Lines has been asked in 14 of the 27 years of JEE Advanced papers analysed (2000–2026), with 22 questions in all. 27% of them were easy, 55% moderate and 18% tough. Most of its questions came from 2008, with 5 questions that year. In the last three years (2024–2026) it had 1 question across 6 papers, about 0.2 per paper.

The chapter's 7 topics are not weighted equally: Coordinate System (8 questions, 36%), Basic Forms of Straight Line (4 questions, 18%), and Locus (4 questions, 18%) have been asked the most. Over the last five years the most frequent topics have been Locus (1) and Angle between Lines (1). Locus has produced the most tough questions (3).

  1. 1Let denote . Let Then which of the following statements is (are) TRUE?2024 (Paper 1)Angle between Lines
  2. 2Let P Q R S be a quadrilateral in a plane, where Q R = 1 , P Q R = Q R S = 70 , P Q S = 15 and P R S = 40 . If R P S = , P Q = and P S = , t2022 (Paper 2)Locus
  3. 3Consider a triangle whose two sides lie on the x -axis and the line x + y + 1 = 0 . If the orthocenter of is ( 1 , 1 ) , then the equation o2021 (Paper 1)Coordinate System
  4. 4Consider the lines and defined by For a fixed constant , let be the locus of a point such that the product of the distance of from and the d2021 (Paper 1)Locus
  5. 5Consider the lines and defined by For a fixed constant , let be the locus of a point such that the product of the distance of from and the d2021 (Paper 1)Locus
  6. 6Let O be the center of the circle x 2 + y 2 = r 2 , where r 5 2 . Suppose P Q is a chord of this circle and the equation of the line passing2020 (Paper 2)Point and Line
  7. 7Let the point B be the reflection of the point A 2 , 3 with respect to the line 8 x - 6 y - 23 = 0 . Let T A and T B be circle of radii 2 an2019 (Paper 1)Point and Line
  8. 8Paragraph: Let and , for , be the foci of the ellipse Suppose a parabola having vertex at the origin and focus at intersects the ellipse at 2016 (Paper 2)Coordinate System
  9. 9Let the curve C be the mirror image of the parabola y 2 = 4 x with respect to the line x + y + 4 = 0 . If A and B are the points of intersec2015 (Paper 1)Basic Forms of Straight Line
  10. 10For a point P in the plane, let d 1 P and d 2 P be the distances of the point P from the lines x - y = 0 and x + y = 0 respectively. The are2014 (Paper 1)Coordinate System
  11. 11For a b c 0, the distance between (1, 1) and the point of intersection of the lines ax + by + c = 0 and bx + ay + c = 0 is less than 2 2 .Th2013 (Paper 1)Concurrency & Family of Lines
  12. 12Paragraph: Let , where and . Question: Area of2013 (Paper 2)Coordinate System
  13. 13Paragraph: Let , where and . Question:2013 (Paper 2)Coordinate System
  14. 14A straight line through the point is inclined at an angle to the line . If also intersects the -axis, then the equation of is2011 (Paper 1)Basic Forms of Straight Line
  15. 15Paragraph: Tangents are drawn from the point to the ellipse touching the ellipse at points and . Question: The orthocentre of the triangle i2010 (Paper 2)Coordinate System
  16. 16The locus of the orthocentre of the triangle formed by the lines , and , where , is2009 (Paper 2)Locus
  17. 17A straight line through the vertex of a intersects the side at the point and the circumcircle of the at the point . If is not the centre of 2008 (Paper 1)Coordinate System
  18. 18Paragraph: A circle of radius 1 is inscribed in an equilateral . The points of contact of with the sides are respectively. The line is given2008 (Paper 1)Basic Forms of Straight Line
  19. 19Paragraph: A circle of radius 1 is inscribed in an equilateral . The points of contact of with the sides are respectively. The line is given2008 (Paper 1)Basic Forms of Straight Line
  20. 20Consider three points and , where . Then,2008 (Paper 2)Coordinate System
  21. 21Consider where is a real number and . Statement 1 If line is a chord of circle , then line is not always a diameter of circle . Statement 2 2008 (Paper 2)Point and Line
  22. 22Lines and intersect the line at and , respectively. The bisector of the acute angle between and intersects at . Statement I The ratio equals2007 (Paper 2)Angle bisector

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 22 questions compiled from JEE Advanced papers spanning 2007 to 2024.

2.Are these questions only from JEE Advanced, or from other exams too?

These are JEE Advanced questions specifically for the Straight Lines chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Straight Lines an important chapter for JEE Advanced Mathematics?

Straight Lines has appeared in 14 of the 21 years of JEE Advanced papers covered here, with 22 questions across 16 papers - about one per paper it appears in.

4.What is the difficulty level of Straight Lines questions in JEE Advanced?

Of the 22 questions analysed for this chapter, 27% are easy, 55% moderate and 18% tough. 2008 had the most, with 5 questions.

5.Which topics in Straight Lines should I focus on?

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 8 questions (36%)
  • Basic Forms of Straight Line - 4 questions (18%)
  • Locus - 4 questions (18%)
  • Locus has produced the most tough questions (3).
6.Is Straight Lines's weightage in JEE Advanced going up or down?

Across all 16 papers analysed, Straight Lines has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.